64365089616000 has 576 divisors, whose sum is σ = 240029752187160. Its totient is φ = 17163995904000.

The previous prime is 64365089615999. The next prime is 64365089616019. The reversal of 64365089616000 is 61698056346.

64365089616000 is a `hidden beast` number, since 6 + 4 + 36 + 508 + 96 + 16 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11870891413056 + 52494198202944 = 3445416^2 + 7245288^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×64365089616000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104669430 + ... + 105282570.

Almost surely, 2^{64365089616000} is an apocalyptic number.

64365089616000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64365089616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120014876093580).

64365089616000 is an abundant number, since it is smaller than the sum of its proper divisors (175664662571160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64365089616000 is an frugal number, since it uses more digits than its factorization.

64365089616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613194 (or 613151 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 64365089616000 in words is "sixty-four trillion, three hundred sixty-five billion, eighty-nine million, six hundred sixteen thousand".